Isothermal process, Calculate the density

• dbag123
In summary, the conversation discussed the method for finding the density using the formula P = p/(R*T) and provided an example of calculating the density at 10Bar using the given values. It was also mentioned that the change in density can be determined by comparing the values at different pressures. No physics knowledge is necessary for this calculation, as it can simply be done through ratio and percentage calculations.
dbag123
Homework Statement
1000L of air at 2Bar, how does the density change when the volume is reduced to 200L, initial temperature is 288K assuming it is a isothermal process.
Relevant Equations
p1v1=p2v2
I can get the P2 from P1V1=P2V2 --> P2 = 10Bar,

but then how do i get the density?
p=p/R*T ? where p=10Bar R=287J K-1kg and T 288K, density would be 12,1kg/m3?
Is that right?

It asks how the density changes. I interpret that as a ratio or percentage question.

The answer should then be obvious.

assuming the desntity to be 1,209kg/m3 at 1 atm, then 10 atm would be 10x ?

dbag123 said:
assuming the desntity to be 1,209kg/m3 at 1 atm, then 10 atm would be 10x ? and as such the change in density 5x to the original

yes, 1000mL/200 mL = 5.
No physics needed!

1. What is an isothermal process?

An isothermal process is a thermodynamic process in which the temperature remains constant throughout. This means that the system is in thermal equilibrium and there is no change in the internal energy of the system.

2. How is the density calculated in an isothermal process?

The density in an isothermal process can be calculated using the ideal gas law, which states that the density is directly proportional to the pressure and inversely proportional to the temperature. The formula is: density = (pressure)/(gas constant x temperature).

3. Why is the density important in an isothermal process?

The density is important in an isothermal process because it determines the behavior of a gas under constant temperature conditions. It also affects other properties such as volume and pressure, and is essential in understanding the thermodynamic behavior of a system.

4. How does the density change during an isothermal process?

In an isothermal process, the density of a gas remains constant as long as the temperature remains constant. This means that as the pressure increases, the volume of the gas decreases in order to maintain a constant density.

5. What is the relationship between density and molar mass in an isothermal process?

The density of a gas in an isothermal process is directly proportional to the molar mass of the gas. This means that gases with higher molar masses will have a higher density compared to gases with lower molar masses at the same pressure and temperature.

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